Answer:
32 magazines
Step-by-step explanation:
If x is the number of subscriptions in December, then the number in January is x-7.
The relationship between the average price of magazines in the two months is ...
80/(x-7) -80/(x) = 0.70 . . . . . . . . .Jan price - Dec price = 0.70
80(x) -80(x -7) = 0.70(x)(x-7) . . . . multiply by the denominators
0.7x^2 -4.9x +560 = 0 . . . . . . . . put in standard form
x^2 -7x +800 = 0 . . . . . . . . . . . . . divide by 0.7
(x -32)(x +25) = 0 . . . . . . . . . . . . . factor
The product is zero when one of the factors is zero. x=32 or -25. The sensible solution for this problem is x=32.
The school library subscribed to 32 magazines in December.
Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then


Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
If the three integers are
, then we have

We can combine the fractions on the left side:


Answer:
You just subtract 126 degrees from 180 degrees = 34 degrees for all angles